Existence and Ulam stability results of a coupled system for terminal value problems involving ψ-Hilfer fractional operator
Mohammed S. Abdo, Kamal Shah, Satish K. Panchal, Hanan A. Wahash
Abstract
Abstract The work reported in this paper deals with the study of a coupled system for fractional terminal value problems involving ψ -Hilfer fractional derivative. The existence and uniqueness theorems to the problem at hand are investigated. Besides, the stability analysis in the Ulam–Hyers sense of a given system is studied. Our discussion is based upon known fixed point theorems of Banach and Krasnoselskii. Examples are also provided to demonstrate the applicability of our results.
Topics & Concepts
MathematicsUniquenessFixed-point theoremPartial differential equationOperator (biology)Stability (learning theory)Ordinary differential equationFractional calculusTerminal (telecommunication)Functional analysisBanach spaceFixed pointApplied mathematicsWork (physics)Mathematical analysisDifferential equationComputer scienceTranscription factorTelecommunicationsMachine learningBiochemistryRepressorMechanical engineeringChemistryEngineeringGeneNonlinear Differential Equations AnalysisFractional Differential Equations SolutionsDifferential Equations and Boundary Problems